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Finding the Fourth Proportional to 27,432.84, 41,149.26 and 7,713.40

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Solution

The fourth proportional to 27,432.84, 41,149.26 and 7,713.40 is: 11,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432.84 : 41,149.26 = 7,713.40 : x
  2. Step 2: Convert to fraction form
    27,432.84/41,149.26 = 7,713.40/x
  3. Step 3: Cross multiply
    27,432.84x = 41,149.26 × 7,713.40
  4. Step 4: Simplify right side
    27,432.84x = 317,400,702.08
  5. Step 5: Solve for x
    x = 317,400,702.08/27,432.84
  6. Step 6: Final answer
    x = 11,570.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.